372164 has 24 divisors (see below), whose sum is σ = 744408. Its totient is φ = 161280.

The previous prime is 372149. The next prime is 372167. The reversal of 372164 is 461273.

It can be written as a sum of positive squares in 4 ways, for example, as 64 + 372100 = 8^2 + 610^2 .

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (372167) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 674 + ... + 1094.

It is an arithmetic number, because the mean of its divisors is an integer number (31017).

2³⁷²¹⁶⁴ is an apocalyptic number.

372164 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

372164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

372164 is a wasteful number, since it uses less digits than its factorization.

372164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its digits is 1008, while the sum is 23.

The square root of 372164 is about 610.0524567609. The cubic root of 372164 is about 71.9302307682.

It can be divided in two parts, 3721 and 64, that multiplied together give a square (238144 = 488²).

The spelling of 372164 in words is "three hundred seventy-two thousand, one hundred sixty-four".